Add to ORKGWe study the isolated singularities of functions satisfying (E) (−∆) s v±|v| p−1 v = 0 in Ω\{0}, v = 0 in R N \Ω, where 0 1 and Ω is a bounded domain containing the origin. We use the Caffarelli-Silvestre extension to R + × R N. We emphasize the obtention of a priori estimates, analyse the set of self-similar solutions via energy methods to characterize the singularities
We propose a unified functional analytic approach to study the uniform analytic-Gevrey regularity an...
We obtain a few existence results for elliptic equations. We develop in Chapter 2 a new infinite di...
The thesis studies linear and semilinear Dirichlet problems driven by different fractional Laplacian...
In this paper, we solve the fractional Lane-Emden equation in the Serrin's critical case for the fra...
We prove uniqueness of least-energy solutions for a class of semilinear equations driven by the frac...
Let p ∈ (0, N N−2α), α ∈ (0, 1) and Ω ⊂ RN be a bounded C2 domain containing 0. If δ0 is the Dirac m...
24 pagesIn this paper, we study the local behaviors of nonnegative local solutions of fractional ord...
We consider radial solutions with an isolated singularity for a semilinear equation involving the fr...
International audienceWe prove the existence of a solution of (−∆) s u + f (u) = 0 in a smooth bound...
We study the nonlinear fractional equation (−Δ)su=f(u) in Rn, for all fractions 0<s<1 and all nonlin...
A coupled system of singular fractional differential equations involving Riemann–Liouville integral ...
The standard problem for the classical heat equation posed in a bounded domain Ω of $\mathcal{R}$n i...
We study the singular part of the free boundary in the obstacle problem for the fractional Laplacian...
We look for solutions of (-) s u + f (u) = 0 s u+f(u)=0 in a bounded smooth domain Ω, s ϵ (0,1) s\in...
AbstractLet Ω be an open subset of RN, N ⩾ 3, containing 0. We consider the solutions of −Δu(x) + g(...
We propose a unified functional analytic approach to study the uniform analytic-Gevrey regularity an...
We obtain a few existence results for elliptic equations. We develop in Chapter 2 a new infinite di...
The thesis studies linear and semilinear Dirichlet problems driven by different fractional Laplacian...
In this paper, we solve the fractional Lane-Emden equation in the Serrin's critical case for the fra...
We prove uniqueness of least-energy solutions for a class of semilinear equations driven by the frac...
Let p ∈ (0, N N−2α), α ∈ (0, 1) and Ω ⊂ RN be a bounded C2 domain containing 0. If δ0 is the Dirac m...
24 pagesIn this paper, we study the local behaviors of nonnegative local solutions of fractional ord...
We consider radial solutions with an isolated singularity for a semilinear equation involving the fr...
International audienceWe prove the existence of a solution of (−∆) s u + f (u) = 0 in a smooth bound...
We study the nonlinear fractional equation (−Δ)su=f(u) in Rn, for all fractions 0<s<1 and all nonlin...
A coupled system of singular fractional differential equations involving Riemann–Liouville integral ...
The standard problem for the classical heat equation posed in a bounded domain Ω of $\mathcal{R}$n i...
We study the singular part of the free boundary in the obstacle problem for the fractional Laplacian...
We look for solutions of (-) s u + f (u) = 0 s u+f(u)=0 in a bounded smooth domain Ω, s ϵ (0,1) s\in...
AbstractLet Ω be an open subset of RN, N ⩾ 3, containing 0. We consider the solutions of −Δu(x) + g(...
We propose a unified functional analytic approach to study the uniform analytic-Gevrey regularity an...
We obtain a few existence results for elliptic equations. We develop in Chapter 2 a new infinite di...
The thesis studies linear and semilinear Dirichlet problems driven by different fractional Laplacian...